105273747 has 12 divisors (see below), whose sum is σ = 152734920. Its totient is φ = 69873324.

The previous prime is 105273709. The next prime is 105273757. The reversal of 105273747 is 747372501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 105273747 - 2⁸ = 105273491 is a prime.

It is a super-2 number, since 2×105273747² = 22165123614840018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105273757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463648 + ... + 463874.

It is an arithmetic number, because the mean of its divisors is an integer number (12727910).

Almost surely, 2^105273747 is an apocalyptic number.

105273747 is a deficient number, since it is larger than the sum of its proper divisors (47461173).

105273747 is an frugal number, since it uses more digits than its factorization.

105273747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 105273747 is about 10260.2995570305. The cubic root of 105273747 is about 472.1790278328.

The spelling of 105273747 in words is "one hundred five million, two hundred seventy-three thousand, seven hundred forty-seven".